Least Common Multiple of 567/74, 342/68, 317/626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/74, 342/68, 317/626 quickly i.e. 3415041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/74, 342/68, 317/626 is 3415041.

LCM(567/74, 342/68, 317/626) = 3415041

LCM of 567/74, 342/68, 317/626

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 567/74,342/68,317/626

Given numbers are 567/74,342/68,317/626

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 567,342,317

Least Common Multiple of Numerators i.e. LCM of 567,342,317 is 6830082.

GCF of Denominators means GCF of 74,68,626 as per the given fractions.

GCF of 74,68,626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,342,317

LCM of Fractions 567/74,342/68,317/626 is 3415041

3 567, 342, 317
3 189, 114, 317
63, 38, 317

∴ So the LCM of the given numbers is 3 x 3 x 63 x 38 x 317 = 6830082

Least Common Multiple of 567,342,317 with GCF Formula

Least Common Multiple of 567,342,317 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 567,342,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,342,317) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(567,342,317) x common factors =1 x 9 = 9

LCM(567,342,317) = ( 567 × 342 × 317 ) / 9

LCM(567,342,317) = 61470738 / 9

LCM(567,342,317) = 6830082


Lets's calculate GCF of 74,68,626

2 74, 68, 626
37, 34, 313

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6830082/2

Therefore the LCM of Fractions 567/74,342/68,317/626 is 3415041

Greatest Common Factor of 74,68,626 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,68,626 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Greatest Common Factor

We found the factors 74,68,626 . The biggest common factor number is the GCF number.
So the greatest common factor 74,68,626 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 567/74, 342/68, 317/626

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 567/74, 342/68, 317/626?

Answer: LCM of Numerators as per given numbers 567/74, 342/68, 317/626 is

LCM of Numerators i.e. for 567,342,317 is 6830082

GCF of denominators i.e. for 74,68,626 is 2.

Thus, LCM of Fractions is 3415041.Finally, LCM of Fractions for 567/74, 342/68, 317/626 is 3415041.